MATH 2090 Elementary Differential Equations and Linear Algebra


Homework Assignments


MATH 2090-5       Elementary Differential Equations    Dan Cohen  Office: 372 Lockett
M-Th 12:40-1:30          and Linear Algebra            Office Hours:  T,Th 1:40-3:30 (*)
237 Lockett                                            Phone: 388-1576

(*) These office hours are tentative. Any change will be announced in class. I will also hold office hours by appointment. Except in instances when I am extremely busy, I'm usually happy to talk to you if you drop by my office at other times as well.

TEXT Goode, An Introduction to Differential Equations and Linear Algebra. We will cover (portions of) Chapters 1--7, 9, 8 and 11, in this order.

HOMEWORK I will assign homework problems essentially every class. With possibly a few exceptions, homework will not be collected. Homework assignments will be announced in class, and posted on my homepage.

QUIZZES There will be several short (10 minute) quizzes in class throughout the semester. Quiz problems will be similar to the problems you encounter in the homework. There will be no make-up quizzes, but your lowest quiz score will be dropped. In total, the quizzes (and any homework collected) will be worth 100 points.

EXAMS There will be four hour-long, in-class exams, each worth 100 points. These exams will tentatively take place after we've covered chapters 2, 5, 7, and 8. Exam dates will be announced in class. No make-up exams, except in extreme cases. If you must miss an exam, you should notify me before the exam takes place.

FINAL There will be a comprehensive final exam worth 200 points. The final exam is scheduled for Wednesday, May 13, 12:30 -- 2:30.

GRADE Your course grade will be out of the 700 possible points outlined above. I typically curve course grades. However, 90-100% is assured an A, 80-89% a B, and so on.

IMPORTANT DATES The last day to add is January 27; the last day to drop is February 6; the last day to withdraw is April 9. Holidays: Mardi Gras, February 23-24; Spring Break, March 23-28; Good Friday, April 10.

As the titles of the course and text indicate, our objective is to introduce differential equations and linear algebra. These two subjects are tools you will undoubtably encounter and have occasion to use as you progress through your science and/or engineering courses. We will develop methods for solving (certain classes of) differential equations and problems in linear algebra. We will also endeavor to develop an understanding of why these methods work. To this end, we will work with objects known as vector spaces. The ideas we develop will, among other things, provide us with a means of understanding the theory underlying the solution of linear differential equations. There is, however, no such thing as a free lunch. The level of abstraction in, for instance, chapters 6 and 7 will probably be somewhat higher than what you've encountered in prior courses.

In general, to stay on top of the material, it is important that you attend class, read the text, and do the homework regularly.

Bear in mind that you are taking this course under the guidelines of the Code of Student Conduct.

Homework Assignments

Assigned from Goode, An Introduction to Differential Equations and Linear Algebra.

Section Problems ------- -------- '1.1 #1--11 odd,14,17,22,23,27,29,31 '1.2 #3,5,6--9,11,21 '1.3 #1,3,6,7(partial fractions),16 '1.4 #1,2,3,6,9,11,15,24 '1.5 #1,2,5,8,12,15,20,21,23 '1.6 #1,4,5,14,15 '1.7 #3,5,7,11,14,15,17 '2.2 #1,3,5,6,7,9,11,12,13,14 '2.3 #1--4 '3.1 #1,3,9,11,13,14,15 '3.2 #1,3,5,7,11,13 '3.3 #1,2,3,9,10,12--15,18 '4.1 #1--11 odd '4.2 #1,2,5,8,9,11,13,15,18,21,24 '4.3 #1--13 odd,17--23 odd '4.4 #1,2,5,7,11,13,16,19,21 '4.5 #1,4,5,9,10,11,15,17,19,23,24,27,29 '5.1 #1,2 '5.2 #2--9, 11--14 '5.3 #1,3,6,7,13,14,23,24 '5.4 #1,3,5,7,11,15,16 '5.5 #1--7 odd,18,21 '5.6 #1,5,7 '6.1 #1 '6.2 #1,3,5,6,7,9,11,13,14,15,17,18,25 '6.3 #1--11 odd,12,13,15,17--20 '6.4 #1,3,4--7,9,10,13,15,17,20 '6.5 #1--9 odd,10,11,15,16,(19--21),22 '6.7 #1,3,5,9,11,15,17,22 '7.1 #1,3,4,5,7,9,11,15,17,19,22,23,25 '7.2 #2,3--13 odd '9.2 #1--5,12--14 '6.6 #1,2,5,10,20--23 '9.3 #3,5,8,9,11 '9.4 #(3,5),10,11,13,14,21 '9.6 #1,4,14,21,2,5,9,22 '9.5 #1,2,9,15,17 '9.6 #3,7,13,16,23,26,36 '9.7 #11,13,14,15,19,21,25,27,(31),33 '8.2 #5--19 odd,25,27,31 '8.3 #1--11 odd,17,19 '8.4 #1--11 odd,14,15,16 '11.5 #1,5,6,10,13,16 '11.5 #3,7,8,11,17